title: Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales.
abstract: In this paper, we first investigate the existence of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales by the continuation theorem of coincidence degree theory. Then, by constructing a Lyapunov functional, we discuss the global exponential stability of the periodic solution for such neural networks on time scales. The paper unifies periodic discrete-time and continuous-time BAM neural networks under the same framework.
authors.affiliation: College of Mathematics, Hunan University, Changsha 410082, PR China. zhangzhengqiu@hnu.cn
authors.forename: Zhengqiu
authors.initials: Z
authors.lastname: Zhang
authors.forename: Kaiyu
authors.initials: K
authors.lastname: Liu
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation / Q000592:standards*; D006801:Humans; D055641:Mathematical Concepts; D008568:Memory / Q000502:physiology*; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D011930:Reaction Time / Q000502:physiology; D013997:Time Factors